Transcript Parallel Lines and the Triangle Angle

Blue – 3/9/2015
Gold – 3/10/2015

Last 2 classes, we talked about 3 ways we
can determine triangle congruence.
 CPCTC – All 3 sides and 3 angles of one triangle
are congruent with its corresponding triangle
 Side-side-side is when all the sides are congruent
to another triangle
 Side-angle-side is when 2 sides and their included
angle are congruent to a corresponding triangle.

Today We are going to talk about ASA and
AAS

Angle–Side–Angle (ASA)– If two angles
and the included side of one triangle are
congruent to the corresponding parts of
another triangle, then the triangles are
congruent.
1. A   D
2. AB  DE
3.  B   E
If
true…
ABC   DEF
included
side
What is the side between two
angles
GI
HI
GH
Name the included Side:
E
Y
S
Y and E
YE
E and S
ES
S and Y
SY

Angle-Angle-Side – (AAS) - If two angles
and a non-included side of one triangle
are congruent to the corresponding parts
of another triangle, then the triangles are
congruent.
1. A   D
2.  B   E
3. BC  EF
If
true…
ABC   DEF
Non-included
side
There is no such
thing as an SSA
postulate!
E
B
F
A
C
D
NOT CONGRUENT
There is no such
thing as an AAA
postulate!
E
B
A
C
D
NOT CONGRUENT
F
 SSS
correspondence
 ASA
correspondence
 SAS
correspondence
 AAS
correspondence
 SSA correspondence
 AAA
correspondence
SAS
SSA
ASA
SSS
AAA
ASA
SAS
SSA
Reflexive
Property
Vertical
Angles
SAS
Vertical
Angles
SAS
SAS
Reflexive
Property
SSA